λ
Sigma Notebook

223,581

3 × 74527
Deficient Odd Composite

223,581 is odd and not a perfect square. Its factorization is 3 × 74527 and its 4 divisors sum to 298,112.

Prime Factor Structure

Factorization String 3 × 74527
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 298,112
Proper Divisor Sum 74,531
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #223577 ← → #223589

Radix Representation

Decimal 223581
Binary 110110100101011101 (18 bits)
Octal 0o664535
Hexadecimal 0x3695D

Divisor Catalog (4)

1 3 74,527 223,581

Collatz Trajectory (93 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

223,581 670,744 335,372 167,686 83,843 251,530 125,765 377,296 188,648 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238

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